Baryon magnetic moments get corrections at one-loop order from the diagrams displayed in Figs. REF  and REF , which contribute to orders \(\mathcal {O}(m_q^{1/2})\)  and \(\mathcal {O}(m_q \ln m_q)\) , respectively. The group theoretical properties of these diagrams have been discussed in detail in previous works [1]}, [2]}, so some partial results will be borrowed. In this section, one-loop corrections will be upgraded and improved to all orders allowed for \(N_c=3\)  in the \(1/N_c\)  expansion. Each correction is dealt with separately due to its inherent complexity.
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